{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b442b2ef-4c72-483b-a569-d7a0f5f085bb",
   "metadata": {},
   "source": [
    "Chapter 26\n",
    "# 比较六种插值方法\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c09d6779-7f0e-423e-9300-e23e3481284d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.interpolate import interp1d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7d590eed-3c06-46e8-ab64-7e39816e85af",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 生成随数据\n",
    "np.random.seed(8)\n",
    "x = np.linspace(0, 10, 10)\n",
    "y = np.random.rand(10) * 10\n",
    "x_fine = np.linspace(0, 10, 1001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1c7d3cae-f05e-4464-8a8f-8100e457018c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x900 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建一个图形对象，包含六个子图\n",
    "fig, axes = plt.subplots(2, 3, figsize=(6, 9),\n",
    "                         sharex = 'col',\n",
    "                         sharey = 'row')\n",
    "axes = axes.flatten()\n",
    "\n",
    "# 六种插值方法\n",
    "methods = ['linear','quadratic','cubic', \n",
    "           'previous','next','nearest']\n",
    "\n",
    "for i, method in enumerate(methods):\n",
    "    \n",
    "    # 创建 interp1d 对象\n",
    "    f = interp1d(x, y, kind=method)\n",
    "    \n",
    "    # 生成插值后的新数据点\n",
    "    y_fine = f(x_fine)\n",
    "    \n",
    "    # 绘制子图\n",
    "    axes[i].plot(x, y, 'o', label='Data', \n",
    "                 markeredgewidth=1.5, \n",
    "                 markeredgecolor = 'w',\n",
    "                 zorder = 100)\n",
    "    axes[i].plot(x_fine,y_fine,label='Interpolated')\n",
    "    axes[i].set_title(f'Method: {method}')\n",
    "    axes[i].legend()\n",
    "    axes[i].set_xlim(0, 10)\n",
    "    axes[i].set_ylim(0, 10)\n",
    "    axes[i].set_aspect('equal', adjustable='box')\n",
    "plt.tight_layout()\n",
    "# fig.savefig('不同插值方法.svg', format='svg')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
